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Finding the Third Proportional to 430,830 and 937,200

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Solution

The third proportional to 430,830 and 937,200 is: 2,038,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,830 : 937,200 = 937,200 : x
  2. Step 2: Convert to fraction form
    430,830/937,200 = 937,200/x
  3. Step 3: Cross multiply
    430,830x = 937,200 × 937,200
  4. Step 4: Simplify right side
    430,830x = 878,343,840,000
  5. Step 5: Solve for x
    x = 878,343,840,000/430,830
  6. Step 6: Final answer
    x = 2,038,724.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.